Atkin-Lehner |
3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52215d |
Isogeny class |
Conductor |
52215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2135389515575625 = 34 · 54 · 596 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34882,1145239] |
[a1,a2,a3,a4,a6] |
Generators |
[1169602:2418859:6859] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
7.4816581469677 |
L(r)(E,1)/r! |
Ω |
0.41562607312189 |
Real period |
R |
9.0004677651507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15a1 |
Quadratic twists by: -59 |